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James Alexander Shohat (aka Jacques Chokhate (or Chokhatte), 18 November 1886, Brest-Litovsk – 8 October 1944, Philadelphia) was an American mathematician at the University of Pennsylvania who worked on the moment problem. ==Selected works== * * * with J. Sherman: * * 〔18 Aug. 2012 email from R. Askey: "I suspect that "On mechanical quadratures, in particular, with positive coefficients", Trans AMS 42 (1937), 461-496 is the most important paper among those dealing with interpolation and quadrature, but I am not an expert on this and have not read enough to be sure."〕 * 〔18 Aug. 2012 email from R. Askey: "I am not an expert on all of Shohat's work, but I think the most important paper is: A differential equation for orthogonal polynomials, Duke Math Journal, 5(1939)401-417. In it he finds a difference equation for a coefficient in the recurrence relation for polynomials orthogonal on the real line with respect to e^(-x^4). It turns out that this nonlinear difference equation is a discrete analogue of one of the Painleve differential equations, and I think the first discrete Painleve equation found."〕 * with J. D. Tamarkin: * 〔18 Aug. 2012 email from R. Askey: "Norman Levinson give the following paper a very strong review. On van der Pol's and non-linear differential equations, J. Appl. Phys15 (1944), 568-574 (with giving a very strong negative comment on Shohat's earlier paper on von der Pol's equation )."〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「James Alexander Shohat」の詳細全文を読む スポンサード リンク
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